Converting Between Fahrenheit and Celsius: A Step-by-Step Guide
6-8
2
Rules of Exponents, Part 2: Three More Essential Rules
Lesson Details
Grade Level
6-8
Duration (minutes)
2
Summary
Grade 6-8 students complete their mastery of exponent rules with three final laws: the Negative Exponent Rule (a negative exponent means take the reciprocal), the Power of a Product Rule (apply the exponent to each factor separately), and the Power of a Quotient Rule (apply the exponent to both numerator and denominator) — each with a fully worked example. Combined with Part 1, students now have all seven core rules of exponents.
Student Worksheet: Rules of Exponents, Part 2
Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!
This is Part 2 of a two-part series. If you haven’t already, start with Part 1, which covers the Product, Quotient, Power, and Zero Exponent rules.
Key Concepts:
• Negative Exponent Rule: A negative exponent means take the reciprocal of the base raised to the positive exponent.
• Power of a Product Rule: When a product is raised to a power, apply the exponent to each factor separately.
• Power of a Quotient Rule: When a quotient is raised to a power, apply the exponent to both the numerator and denominator.
Instructions: Read each question carefully and write your answer in the space provided.
- Question 1: Simplify: 4⁻²
- Question 2: Simplify: (2 · 3)²
- Question 3: Simplify: (4 ÷ 2)³
- Question 4: Rewrite 5⁻³ without a negative exponent.
- Question 5: Name all seven rules of exponents covered across Part 1 and Part 2.
- Question 6: Simplify on your own: (3 · 2)³
Click to reveal Teacher Answer Key
1. 1/16 (rewrite as 1/4², then 4²=16)
2. 36 (2² × 3² = 4 × 9 = 36)
3. 8 (4³ ÷ 2³ = 64 ÷ 8 = 8)
4. 1/5³
5. Product Rule, Quotient Rule, Power Rule, Zero Exponent Rule, Negative Exponent Rule, Power of a Product Rule, Power of a Quotient Rule.
6. 216 (3³ × 2³ = 27 × 8 = 216)
Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.
🎯 Extension Activity: Create a "cheat sheet" listing all seven rules of exponents from Part 1 and Part 2, with one example of your own for each rule.